Question

Consider parallelogram VWXY below.

Use the information given in the figure to find m ZXYW, x, and m ZX.
97°
3.x
52°
X
W
m ZXYW =
X =
mZX

Answer 1

The answers are down below

Explanation:

<Y+V+<W=180°

<Y+97°+52=180

<Y+149=180

<Y=180-149

<Y=31°

3x=6

divide both sides by 3

3x/3=6/3

x=2

<VWY=<XYW

52°=>XWY(alternate angles)

<VYW=<XWY(alternate angles)

31°=XWY

<W=31+52=83°

<W+<X=180

83+<X=180

<X=180-83

<X=97°